Finding the Third Proportional to 123,658 and 266,516

Step by Step Solution

1. Step 1: Write the proportion equation
   123,658 : 266,516 = 266,516 : x
2. Step 2: Convert to fraction form
   123,658/266,516 = 266,516/x
3. Step 3: Cross multiply
   123,658x = 266,516 × 266,516
4. Step 4: Simplify right side
   123,658x = 71,030,778,256
5. Step 5: Solve for x
   x = 71,030,778,256/123,658
6. Step 6: Final answer
   x = 574,413.13